102614625440 has 144 divisors (see below), whose sum is σ = 264684921480. Its totient is φ = 37544048640.

The previous prime is 102614625439. The next prime is 102614625461. The reversal of 102614625440 is 44526416201.

102614625440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68311140496 + 34303484944 = 261364^2 + 185212^2 .

It is a super-2 number, since 2×102614625440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102614625440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644410 + ... + 1705670.

Almost surely, 2^102614625440 is an apocalyptic number.

102614625440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102614625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132342460740).

102614625440 is an abundant number, since it is smaller than the sum of its proper divisors (162070296040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102614625440 is a wasteful number, since it uses less digits than its factorization.

102614625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61343 (or 61316 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 102614625440 in words is "one hundred two billion, six hundred fourteen million, six hundred twenty-five thousand, four hundred forty".